What is the Greatest Common Factor of 48162 and 48182?

Greatest common factor (GCF) of 48162 and 48182 is 2.

GCF(48162,48182) = 2

We will now calculate the prime factors of 48162 and 48182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48162 and 48182.

How to find the GCF of 48162 and 48182?

We will first find the prime factorization of 48162 and 48182. After we will calculate the factors of 48162 and 48182 and find the biggest common factor number .

Step-1: Prime Factorization of 48162

Prime factors of 48162 are 2, 3, 23, 349. Prime factorization of 48162 in exponential form is:

48162 = 2¹ × 3¹ × 23¹ × 349¹

Step-2: Prime Factorization of 48182

Prime factors of 48182 are 2, 24091. Prime factorization of 48182 in exponential form is:

48182 = 2¹ × 24091¹

Step-3: Factors of 48162

List of positive integer factors of 48162 that divides 48162 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 349, 698, 1047, 2094, 8027, 16054, 24081

Step-4: Factors of 48182

List of positive integer factors of 48182 that divides 48162 without a remainder.

1, 2, 24091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48162 and 48182. The biggest common factor number is the GCF number.
So the greatest common factor 48162 and 48182 is 2.

Also check out the Least Common Multiple of 48162 and 48182